Year 6 Maths: Fraction to Decimal

Introduction to Fractions and Decimals

Hello Year 6! Today, we’re going to learn about how to change fractions into decimals. Understanding this is super important because it helps us in many areas of maths and real-life situations.

What is a Fraction?

A fraction represents a part of a whole. It has two parts:

• The top number is called the numerator. It tells us how many parts we have.
• The bottom number is called the denominator. It tells us how many equal parts the whole is divided into.

For example, in the fraction

What is a Decimal?

A decimal is another way to show numbers that are not whole. For example, instead of writing

How to Convert Fractions to Decimals

There are a few easy steps you can follow to convert a fraction to a decimal.

Method 1: Division

1. Divide the numerator by the denominator.
2. The result will be your decimal.

Example: Convert

• Divide 3 by 4: $$3 \div 4 = 0.75$$
• So, $$\frac{3}{4} = 0.75$$ .

Method 2: Using Common Fractions

Some fractions are very common and you can remember their decimal equivalents:

• $$\frac{1}{2} = 0.5$$
• $$\frac{1}{4} = 0.25$$
• $$\frac{3}{4} = 0.75$$
• $$\frac{1}{10} = 0.1$$
• $$\frac{1}{5} = 0.2$$

Tips and Tricks

• Remember that dividing by 10, 100, or 1000 can help move the decimal point.
• If you find it hard to divide, you can use a calculator to check your work.
• Practice makes perfect! The more you practice converting fractions to decimals, the easier it will become.

Questions to Practice

Easy Level (20 Questions)

1. Convert $$\frac{1}{2}$$ to a decimal.
2. Convert $$\frac{1}{4}$$ to a decimal.
3. Convert $$\frac{3}{4}$$ to a decimal.
4. Convert $$\frac{1}{5}$$ to a decimal.
5. Convert $$\frac{2}{10}$$ to a decimal.
6. Convert $$\frac{1}{10}$$ to a decimal.
7. Convert $$\frac{1}{8}$$ to a decimal.
8. Convert $$\frac{1}{3}$$ to a decimal (rounded to two decimal places).
9. Convert $$\frac{5}{10}$$ to a decimal.
10. Convert $$\frac{7}{10}$$ to a decimal.
11. Convert $$\frac{3}{5}$$ to a decimal.
12. Convert $$\frac{6}{10}$$ to a decimal.
13. Convert $$\frac{2}{5}$$ to a decimal.
14. Convert $$\frac{4}{10}$$ to a decimal.
15. Convert $$\frac{9}{10}$$ to a decimal.
16. Convert $$\frac{1}{20}$$ to a decimal.
17. Convert $$\frac{1}{6}$$ to a decimal (rounded to two decimal places).
18. Convert $$\frac{2}{8}$$ to a decimal.
19. Convert $$\frac{3}{10}$$ to a decimal.
20. Convert $$\frac{5}{4}$$ to a decimal.

Medium Level (20 Questions)

1. Convert $$\frac{7}{8}$$ to a decimal.
2. Convert $$\frac{11}{20}$$ to a decimal.
3. Convert $$\frac{9}{5}$$ to a decimal.
4. Convert $$\frac{13}{100}$$ to a decimal.
5. Convert $$\frac{15}{25}$$ to a decimal.
6. Convert $$\frac{5}{6}$$ to a decimal (rounded to two decimal places).
7. Convert $$\frac{1}{12}$$ to a decimal (rounded to two decimal places).
8. Convert $$\frac{2}{3}$$ to a decimal (rounded to two decimal places).
9. Convert $$\frac{4}{5}$$ to a decimal.
10. Convert $$\frac{3}{8}$$ to a decimal (rounded to two decimal places).
11. Convert $$\frac{5}{12}$$ to a decimal (rounded to two decimal places).
12. Convert $$\frac{1}{40}$$ to a decimal.
13. Convert $$\frac{15}{100}$$ to a decimal.
14. Convert $$\frac{7}{20}$$ to a decimal.
15. Convert $$\frac{8}{10}$$ to a decimal.
16. Convert $$\frac{2}{25}$$ to a decimal.
17. Convert $$\frac{9}{12}$$ to a decimal (rounded to two decimal places).
18. Convert $$\frac{14}{50}$$ to a decimal.
19. Convert $$\frac{18}{20}$$ to a decimal.
20. Convert $$\frac{16}{25}$$ to a decimal.

Hard Level (20 Questions)

1. Convert $$\frac{29}{50}$$ to a decimal.
2. Convert $$\frac{22}{100}$$ to a decimal.
3. Convert $$\frac{17}{40}$$ to a decimal (rounded to two decimal places).
4. Convert $$\frac{23}{30}$$ to a decimal (rounded to two decimal places).
5. Convert $$\frac{19}{60}$$ to a decimal (rounded to two decimal places).
6. Convert $$\frac{25}{40}$$ to a decimal.
7. Convert $$\frac{13}{50}$$ to a decimal.
8. Convert $$\frac{21}{25}$$ to a decimal.
9. Convert $$\frac{27}{100}$$ to a decimal.
10. Convert $$\frac{31}{75}$$ to a decimal (rounded to two decimal places).
11. Convert $$\frac{9}{16}$$ to a decimal (rounded to two decimal places).
12. Convert $$\frac{5}{18}$$ to a decimal (rounded to two decimal places).
13. Convert $$\frac{32}{125}$$ to a decimal (rounded to two decimal places).
14. Convert $$\frac{55}{100}$$ to a decimal.
15. Convert $$\frac{11}{15}$$ to a decimal (rounded to two decimal places).
16. Convert $$\frac{4}{7}$$ to a decimal (rounded to two decimal places).
17. Convert $$\frac{5}{24}$$ to a decimal (rounded to two decimal places).
18. Convert $$\frac{15}{14}$$ to a decimal (rounded to two decimal places).
19. Convert $$\frac{13}{16}$$ to a decimal (rounded to two decimal places).
20. Convert $$\frac{49}{100}$$ to a decimal.

Answers and Explanations

Easy Level Answers

1. 0.5
2. 0.25
3. 0.75
4. 0.2
5. 0.2
6. 0.1
7. 0.125
8. 0.33 (rounded)
9. 0.5
10. 0.7
11. 0.6
12. 0.6
13. 0.4
14. 0.4
15. 0.9
16. 0.05
17. 0.17 (rounded)
18. 0.25
19. 0.3
20. 1.25

Medium Level Answers

1. 0.875
2. 0.55
3. 1.8
4. 0.13
5. 0.6
6. 0.83 (rounded)
7. 0.08 (rounded)
8. 0.67 (rounded)
9. 0.8
10. 0.375 (rounded)
11. 0.42 (rounded)
12. 0.025
13. 0.15
14. 0.35
15. 0.8
16. 0.08
17. 0.75 (rounded)
18. 0.28
19. 0.9
20. 0.64

Hard Level Answers

1. 0.58
2. 0.22
3. 0.425 (rounded)
4. 0.77 (rounded)
5. 0.32 (rounded)
6. 0.625
7. 0.26
8. 0.84
9. 0.27
10. 0.41 (rounded)
11. 0.56 (rounded)
12. 0.28 (rounded)
13. 0.256 (rounded)
14. 0.55
15. 0.73 (rounded)
16. 0.57 (rounded)
17. 0.21 (rounded)
18. 1.07 (rounded)
19. 0.81 (rounded)
20. 0.49

I hope this helps you understand how to convert fractions to decimals! Remember to practice, and soon you will be a pro at it! Happy learning!